Point where three medians of a triangle meet.

Let's find in how many points do the three medians of a triangle meet.

Prove that if the three medians of a triangle be equal , then it is an equilateral triangle.

Show that if theree forces are represented by the three medians of a triangle, they will be in equilibrium.

(vi) The point of intersection of the three medians of any triangle is called-

By vector method prove that the three medians of a triangle are concurrent.

Let 'm' be the sum of lengths of the three medians of a triangle whose perimeter is unity,then the value of [4m] ,can't be (where [•] denotes the greatest integer function)

State true or false. (a) A median of a triangle may lie outside the triangle. (b). The medians of a triangle meet at more than one points. (c) The centroid of a triangle always lies inside the triangle.